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10022220123000 = 2335323145249567
BaseRepresentation
bin1001000111010111101011…
…0111101100101101111000
31022111010002202022110021220
42101311322313230231320
52303201001322414000
633152051103232040
72053036646311101
oct221657267545570
938433082273256
1010022220123000
113214443a87338
12115a4592a8620
1357912578bbb7
1426911420d3a8
15125a7aa531a0
hex91d7adecb78

10022220123000 has 128 divisors (see below), whose sum is σ = 32628862955520. Its totient is φ = 2556392361600.

The previous prime is 10022220122953. The next prime is 10022220123029. The reversal of 10022220123000 is 32102222001.

It is a happy number.

It is a super-2 number, since 2×100222201230002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72555784 + ... + 72693783.

It is an arithmetic number, because the mean of its divisors is an integer number (254912991840).

Almost surely, 210022220123000 is an apocalyptic number.

10022220123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022220123000 is an abundant number, since it is smaller than the sum of its proper divisors (22606642832520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022220123000 is a wasteful number, since it uses less digits than its factorization.

10022220123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145249614 (or 145249600 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10022220123000 its reverse (32102222001), we get a palindrome (10054322345001).

The spelling of 10022220123000 in words is "ten trillion, twenty-two billion, two hundred twenty million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 145249567 290499134 435748701 580998268 726247835 871497402 1161996536 1452495670 1742994804 2178743505 2904991340 3340740041 3485989608 3631239175 4357487010 5809982680 6681480082 7262478350 8714974020 10022220123 10893717525 13362960164 14524956700 16703700205 17429948040 18156195875 20044440246 21787435050 26725920328 29049913400 33407400410 36312391750 40088880492 43574870100 50111100615 54468587625 66814800820 72624783500 80177760984 83518501025 87149740200 100222201230 108937175250 133629601640 145249567000 167037002050 200444402460 217874350500 250555503075 334074004100 400888804920 417592505125 435748701000 501111006150 668148008200 835185010250 1002222012300 1252777515375 1670370020500 2004444024600 2505555030750 3340740041000 5011110061500 10022220123000